10 { x }^{ 2 } -17 { x }^{ } - \left( 3x+1 \right) \left( x-6 \right)
Evaluate
7x^{2}+6
Expand
7x^{2}+6
Graph
Share
Copied to clipboard
10x^{2}-17x-\left(3x+1\right)\left(x-6\right)
Calculate x to the power of 1 and get x.
10x^{2}-17x-\left(3x^{2}-17x-6\right)
Use the distributive property to multiply 3x+1 by x-6 and combine like terms.
10x^{2}-17x-3x^{2}+17x+6
To find the opposite of 3x^{2}-17x-6, find the opposite of each term.
7x^{2}-17x+17x+6
Combine 10x^{2} and -3x^{2} to get 7x^{2}.
7x^{2}+6
Combine -17x and 17x to get 0.
10x^{2}-17x-\left(3x+1\right)\left(x-6\right)
Calculate x to the power of 1 and get x.
10x^{2}-17x-\left(3x^{2}-17x-6\right)
Use the distributive property to multiply 3x+1 by x-6 and combine like terms.
10x^{2}-17x-3x^{2}+17x+6
To find the opposite of 3x^{2}-17x-6, find the opposite of each term.
7x^{2}-17x+17x+6
Combine 10x^{2} and -3x^{2} to get 7x^{2}.
7x^{2}+6
Combine -17x and 17x to get 0.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}